Thermal performance of a moving fin with temperature-dependent thermal conductivity in convective and radiative environment

This article studies the thermal performance of a moving fin with temperature-dependent thermal conductivity in a convective and radiative environment. It corresponds to a nonlinear heat transfer problem related to the nonlinear ordinary differential equation (NODE) for the unknown temperature exces...

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Main Authors: Yanqun Han, Xulong Peng
Format: Article
Language:English
Published: Elsevier 2025-02-01
Series:Heliyon
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2405844025007091
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author Yanqun Han
Xulong Peng
author_facet Yanqun Han
Xulong Peng
author_sort Yanqun Han
collection DOAJ
description This article studies the thermal performance of a moving fin with temperature-dependent thermal conductivity in a convective and radiative environment. It corresponds to a nonlinear heat transfer problem related to the nonlinear ordinary differential equation (NODE) for the unknown temperature excess. The NODE is solved by converting it to a nonlinear Fredholm integral equation. An approximate temperature distribution is determined in the quadratic form for arbitrary values of the Biot and Peclet numbers. A comparison of our results with the previous ones indicates satisfactory accuracy of the obtained solution. The fin efficiency is also given explicitly in terms of prescribed parameters and calculated numerically. The heat dissipation to the surrounding medium due to convection and radiation is analyzed for various speeds of a moving fin. The influences of thermal conductivity, heat convection, radiation, and moving speed of the fin on the temperature distribution and thermal performance are elucidated.
format Article
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institution Kabale University
issn 2405-8440
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publishDate 2025-02-01
publisher Elsevier
record_format Article
series Heliyon
spelling doaj-art-b1ad08c03a884acba4e6ccaacc4ebf812025-01-31T05:12:07ZengElsevierHeliyon2405-84402025-02-01113e42329Thermal performance of a moving fin with temperature-dependent thermal conductivity in convective and radiative environmentYanqun Han0Xulong Peng1School of Civil Engineering, Central South University, Changsha 410075, Hunan, PR ChinaSchool of Civil Engineering, Changsha University of Science and Technology, Changsha 410114, Hunan, PR China; Corresponding author.This article studies the thermal performance of a moving fin with temperature-dependent thermal conductivity in a convective and radiative environment. It corresponds to a nonlinear heat transfer problem related to the nonlinear ordinary differential equation (NODE) for the unknown temperature excess. The NODE is solved by converting it to a nonlinear Fredholm integral equation. An approximate temperature distribution is determined in the quadratic form for arbitrary values of the Biot and Peclet numbers. A comparison of our results with the previous ones indicates satisfactory accuracy of the obtained solution. The fin efficiency is also given explicitly in terms of prescribed parameters and calculated numerically. The heat dissipation to the surrounding medium due to convection and radiation is analyzed for various speeds of a moving fin. The influences of thermal conductivity, heat convection, radiation, and moving speed of the fin on the temperature distribution and thermal performance are elucidated.http://www.sciencedirect.com/science/article/pii/S2405844025007091Approximate temperatureConvective-radiative finTemperature-dependent thermal conductivityFin efficiencyNonlinear heat transfer problem
spellingShingle Yanqun Han
Xulong Peng
Thermal performance of a moving fin with temperature-dependent thermal conductivity in convective and radiative environment
Heliyon
Approximate temperature
Convective-radiative fin
Temperature-dependent thermal conductivity
Fin efficiency
Nonlinear heat transfer problem
title Thermal performance of a moving fin with temperature-dependent thermal conductivity in convective and radiative environment
title_full Thermal performance of a moving fin with temperature-dependent thermal conductivity in convective and radiative environment
title_fullStr Thermal performance of a moving fin with temperature-dependent thermal conductivity in convective and radiative environment
title_full_unstemmed Thermal performance of a moving fin with temperature-dependent thermal conductivity in convective and radiative environment
title_short Thermal performance of a moving fin with temperature-dependent thermal conductivity in convective and radiative environment
title_sort thermal performance of a moving fin with temperature dependent thermal conductivity in convective and radiative environment
topic Approximate temperature
Convective-radiative fin
Temperature-dependent thermal conductivity
Fin efficiency
Nonlinear heat transfer problem
url http://www.sciencedirect.com/science/article/pii/S2405844025007091
work_keys_str_mv AT yanqunhan thermalperformanceofamovingfinwithtemperaturedependentthermalconductivityinconvectiveandradiativeenvironment
AT xulongpeng thermalperformanceofamovingfinwithtemperaturedependentthermalconductivityinconvectiveandradiativeenvironment